In the following figure, if AB//CD, ∠ APQ = 64° and ∠ PRD = 125°, find the value of x and y.
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Answered by
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Step-by-step explanation:
○GIVEN-
AB॥CD
Angle APQ=64°
Angle PRS=125°
○TO FIND-
x and y
○CALCULATIONS -
Angle APQ =Angle PQR [Alt. int. angles are equal in parallel lines]
Therefore,
x=64°
x+y=125° [Ext. angle propertyof a triangle]
=64+y=125
=y=125-64
=y=61
Therefore, x=64° and y=61°
Answered by
1
Answer:
Step-by-step explanation:
○GIVEN-
AB॥CD
Angle APQ=64°
Angle PRS=125°
○TO FIND-
x and y
○CALCULATIONS -
Angle APQ =Angle PQR [Alt. int. angles are equal in parallel lines]
Therefore,
x=64°
x+y=125° [Ext. angle property of a triangle]
=64+y=125
=y=125-64
=y=61
Therefore, x=64° and y=61°
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